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Finding the Third Proportional to 4,784.06 and 10,354.08

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Solution

The third proportional to 4,784.06 and 10,354.08 is: 22,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.06 : 10,354.08 = 10,354.08 : x
  2. Step 2: Convert to fraction form
    4,784.06/10,354.08 = 10,354.08/x
  3. Step 3: Cross multiply
    4,784.06x = 10,354.08 × 10,354.08
  4. Step 4: Simplify right side
    4,784.06x = 107,206,933.82
  5. Step 5: Solve for x
    x = 107,206,933.82/4,784.06
  6. Step 6: Final answer
    x = 22,409.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.